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A Generalization of Hansen's Theorem

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Let ABC be a triangle and H its orthocenter. Let and R be the radii of the incircle and circumcircle. Let , , and be the radii of the excircles opposite A, B, and C. Then .

Contributed by: Jay Warendorff (March 2011)
After work by: Amy Bell
Open content licensed under CC BY-NC-SA

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